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tigry1 [53]
3 years ago
5

Assume that random guesses are made for nine multiple choice questions on an SAT​ test, so that there are equal 9 ​trials, e

ach with probability of success​ (correct) given by p equals 0.4. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.
Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Answer:

df,tru,,,

Step-by-step explanation:

You might be interested in
Find the solution of the system of equations shown on the graph.​
Svetllana [295]

Answer:

square

Step-by-step explanation:

unit ;)

3 0
3 years ago
14. A salad recipe that serves 10 people requires 1 1/2 cups of celery. To serve 5 people, the amount
Dimas [21]

Answer:

3/4 cups

Step-by-step explanation:

10 people = 1 1/2 cups

Changing to a mixed number

10 people = 3/2 cups

Divide by 2

10/2 people = 3/2*1/2

5 people = 3/4 cups

5 0
3 years ago
Express <br> X^2 + 4X - 3 <br> in the form <br> (X+P)^2 + q
alukav5142 [94]

Answer:

Answer is (x + 2)² - 7

Step-by-step explanation:

• We gonna achieve this through completing squares:

{ \tt{ {x}^{2}  + 4x - 3}}

• Find the square of the half of the sum.

  • sum is 4

{ \boxed{ \rm{square \: of \: sums \: half =  {( \frac{4}{2} )}^{2}  =  {2}^{2} = 4 }}}

• Add 4 to the sum and subtract it from the product.

  • product is -3

\hookrightarrow \: { \rm{ ({x}^{2}  + 4x + 4) + ( - 3 - 4)}} \\ { \rm{(x + 2) {}^{2}  - 7}}

• Answer is proven

{ \boxed{ \mathfrak{answer \dashrightarrow \: { \rm{ {(x + 2)}^{2} - 7 }}}}}

  • P is 2
  • q is -7
7 0
2 years ago
Determine whether the statement is true or false. Justify your answers.
marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0
3 years ago
Use the discriminant to determine the number of real solutions to the quadratic equation. 5a2+30a+45=0
Eddi Din [679]

Answer:

1

Step-by-step explanation:

30^2 - 4(5)(45)

900 - 900

0

The discriminant works out to be 0, so there is one solution.

7 0
3 years ago
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